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Finding the Third Proportional to 148,336,293 and 218,215,812

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Solution

The third proportional to 148,336,293 and 218,215,812 is: 321,014,767.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,336,293 : 218,215,812 = 218,215,812 : x
  2. Step 2: Convert to fraction form
    148,336,293/218,215,812 = 218,215,812/x
  3. Step 3: Cross multiply
    148,336,293x = 218,215,812 × 218,215,812
  4. Step 4: Simplify right side
    148,336,293x = 47,618,140,606,819,344
  5. Step 5: Solve for x
    x = 47,618,140,606,819,344/148,336,293
  6. Step 6: Final answer
    x = 321,014,767.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.